how do you find the domain?
Posted on Jul 01, 2008 under domain news and reports | 10 CommentsHow do you find (f-g)(x) when you are given f(x)=2X-1and g(x)=X^2?
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July 1st, 2008 at 9:16 am
(f-g)(x)= f(x)-g(x) = 2x-1 -x^2
=-x^2+2x-1
domain of x is all real numbers
July 1st, 2008 at 9:16 am
well you the domain of g(x) > 0
as there are no real roots of negative numbers.
however the domain of f(x) is all values as f(x) can equal any number.
f(g(x)) = f(x^2) = 2x^2 – 1
as you know the domain of g(x) >0
your function f(x) is the same as saying 2[g(x)] – 1
and the domain is also 2[ domain of g(x)] – 1
i.e domain of fg(x) > 2(0) – 1
which mean fg(x) > -1
July 1st, 2008 at 9:16 am
(f-g)(x) = 2x-1-x^2
So Domain is all real numbers = (-infinity, infinity).
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